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Finding the Fourth Proportional to 114,423.40, 157,746.18 and 71,957.80

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Solution

The fourth proportional to 114,423.40, 157,746.18 and 71,957.80 is: 99,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,423.40 : 157,746.18 = 71,957.80 : x
  2. Step 2: Convert to fraction form
    114,423.40/157,746.18 = 71,957.80/x
  3. Step 3: Cross multiply
    114,423.40x = 157,746.18 × 71,957.80
  4. Step 4: Simplify right side
    114,423.40x = 11,351,068,071.20
  5. Step 5: Solve for x
    x = 11,351,068,071.20/114,423.40
  6. Step 6: Final answer
    x = 99,202.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.